ABSTRACT

The modus operandi (technology) presented in the paper is designed to evaluate the accuracy of computed solutions, measured in terms of “problem-oriented” criteria that can be chosen by users. The technology is applicable to various problems in mechanics and physics embracing mathematical models of diffusion processes and models arising in the elasticity theory of solid bodies. Using the linear elasticity model in the present work, we demonstrate that the proposed technology can be easily coded and attached as an independent programme-checker to the most of existing educational and industrial codes (such as, e.g., Matlab, ADINA, ANSYS, etc) that use the finite element method as a computational tool.